Chapter 2: Foundations of Algebra


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Wiki Summary Assignments

2-1: Jordan J. and Max. P.
2-2: Matt B. and August S.
2-3: Davin H. and Jordan S.
2-4: Spenser P. and Trevor S.
2-5: Adam B. and Tyler S.
2-6: Courtney G. and Rachel K.
2-7/2-8: Stjepan M. and Dan. S.
2-9: Claire B. and Jake E.



2-1: Real Numbers

Notes: Int2Section2-1.pdf

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Student Summaries:
In Chapter 2 Lesson 1, we learned how to graph numbers on a number line and how to evaluate numerical expressions with absolute value. Absolute value is the distance a number is away from zero. We also learned what integers are, they are a set of whole numbers and their opposites. We also learned what a graph of a number is, it is the point that corresponds with a number of a number line. Another thing you may see a lot in math is a variable. We learned that a variable is a letter that takes the place of a number, or you can call it a place holder. Taco & Jones

2-2: Order of Operations

Notes: Int2Section2-2.pdf

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Student Summaries:
In Chapter 2, Lesson 2 we learned about the Order of Operations. Numerical Expression is 2 or more numbers combined using the 4 operations. Value is another name for the answer of a numerical expression. Simplify means finding the value of a numerical expression by applying the order of operations. The exponent tells you how many times a number is multiplied by itself. The Variable Expression is a collection of numbers and variables, combined using the four operations. Evaluate by substituting in for a variable. The Order of Operations is Please Excuse My Dear Aunt Sally. The "P" stands for parentheses. The "E" stands for exponents. The "M" & "D" stand for multiplication and division as it appears from left to right. The "A" & "S" stand for addition and subtraction as it appears from left to right. But what isn't in the Order of Operations is brackets. So Mr. Lamb thought he could just change it to Golly, Excuse My Dear Aunt Sally. The "G" stands for grouping symbols, parentheses, brackets, division bars, etc. - August S. and Matt B.

2-3: Write Variable Expressions

Notes: Section 2-3Student.pdf

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Student Summaries:
Variable expressions are very easy to do. It is using a variable such as X in place of a number to form a variable expression. An example of a variable expressing is 7x. Now the written out form would be seven times a number. If there is a number right next to the variable then it is multiplied, but everything else in the expression is written out with mathematical symbols. - Davin H. and Jordan S.

2-4: Add and Subtract Variable Expressions

Notes: Section 2-4Student.pdf

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Student Summaries:
In this chapter we learned that Terms are parts of variable expressions that are separated by addition or subtraction signs. Like terms are terms with the same variable parts. Unlike terms are terms that have different variable parts. Simplify means you do as many of the operations you can. Combining like terms Is when you simplify like terms by adding or
subtracting like terms . Example 2x+3x-5 the answer is 5x-5. -Trevor S.
Trevor pretty much hit the nail on the head. We learned about terms being part of variable expressions and being separated by addition or subtraction signs. To Simplify a variable expression, do as many operations as possible. If you use the distributive property in reverse to simplify an expression that contains like terms, this is called Combining Like Terms.

2-5: Multiply and Divide Variable Expressions

Notes: Section 2-5Student.pdf

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Student Summaries:
In this lesson we multiplied and divided variable expressions. We did that by taking numbers and putting variables with them. For instance if you have 6x multiplied by 2x it would equal 12x, that means multiplying x and x would equal 2x. it is different from adding because that would equal x to the power of 2. that is what we did during this lesson. - Adam B.

In Lesson 2-5 We learned how to simplify and evaluate variable expressions by dividing and/or multiplying. So if a problem read: 2(2x+15y) you would distribute the 2 to 2x and 15y to get 2(2x+15y) = 4x + 30y. That is the basis of what we learned in this lesson. - Tyler S.

2-6: Simplify Variable Expressions

Notes: Section 2-6Student.pdf

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Student Summaries:
In Chapter 2, Lesson 6 we learned about simplifying variable expressions. To simplify you must use the order of operations. That allows you to solve problems to consistently achieve the same answers. For the order of operations you should always remember G.E.M.D.A.S. which stands for Grouping symbols, exponets, multiplication, division, addition, and subtraction. - Rachel K.

In this lesson we learned that after we use the order of operations to find the answer to an equation, we have to simplify the answer as much as we can. This means that we must combine like terms in the answer. After the answer is simplified, we have to write it in alphabetical order.

- Courtney G.

2-7/2-8: Properties of Exponents and Zero and Negative Exponents

Notes: Section 2-7 2-8 Student.pdf

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Student Summaries:

2-9: Problems Solving Skills: Find a Pattern

Notes: Section 2-9Student.pdf

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Student Summaries:
In Chapter 2 lesson 9 we learned how to recognize and extend patterns to solve problems. We had three vocab terms. Look for a pattern which is a strategy that is used to solve problems, where the same thing is done over and over again. Sequence which is a set of numbers arranged in a pattern. Term of a pattern which is each value in the expression. Claire B.

In lesson 2-9 we learned problem solving skills and patterns. When you read the problem you figure out how the pattern goes and then you continue on with the pattern or you use the explict formula that we were given. - Jake E.


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